Public evidence

electrical.power

Machine-checked verification for calculation version 1.3.0 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP status

P = V·I·PF, P = I²R, or P = E/Δt

Declared partition coverage: PASS · 4/4 declared partitions (vi, ir, energy, invalid-domain)
Versions: Calculation 1.3.0 · CVP protocol 1.0.0-proposed · Evidence 2026-10-28.meta-metrics-v2
Verification revision: 2026-10-28.meta-metrics-v2 · 5/5 property · digest 6a8ecfdb1e6f

Verification

Legacy regression suite: 26/26 calculation tests · Production surface contract 3/3

Three distinct suites: educational examples on the calculator page, this legacy regression count (26/26 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.3.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-10-28.meta-metrics-v2. Calculation version 1.3.0. CVP 1.0.0-proposed. 3/3 golden · 8/8 CVP boundary · 7/7 invalid · 5/5 property · 2/2 metamorphic · 1/1 cross-interface · 3/3 CVP contract. digest 6a8ecfdb1e6f.

Golden (oracle-backed) 3 / 3
CVP boundary 8 / 8
Invalid input 7 / 7
Property 5 / 5
Metamorphic 2 / 2
Cross-interface 1 / 1
CVP contract 3 / 3
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

release artifacts aligned PASS
schema output required declared PASS
rest success payload validates schema PASS

Fingerprint sha256:9fa7e190c6ae1b9eb54a06a2deec231491e27bdbfe5791cee757f494cb632c56

Input schema sha256:2e541d9c0ab753ca0b0140f198ccdec21056ab1f12cc61f59078c2cb5c22c6c7 · Output schema sha256:f6df0c7463bbd2fff8bf0bc4c2ba6082e86d1558b9597b25c8dc670a80c83bcc · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: power
Engine: electric-power
Engine build: 2026-09-12
Evidence core: 2026-09-12T23:10:59.103Z
Rendered: 2026-11-10T05:18:41.681Z
Last reviewed: —

Assumptions

Three-phase path uses balanced line-to-line RMS voltage.
PF on the V×I path is total power factor λ = |P|/S in [0, 1]; blank PF defaults to 1.
I²R path assumes resistive power dissipation (I + R inputs). V²/R is the Ohm’s-law identity, not a third tab.
Energy path is average power P = E/Δt with Δt > 0.

Limitations

V×I path is real power P, not apparent power S (use amps-to-va)
Three-phase is balanced sinusoidal L-L only
I²R tab is I+R only; V²/R is Ohm’s law, not a third tab
PF blank → 1; PF=0 → P=0; PF outside [0,1] → INVALID_POWER_FACTOR
Δt ≤ 0 → INVALID_TIME_INTERVAL (not a soft 0 W)
Sinusoidal PF teaching model; true PF with harmonics is not computed

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Watt’s law / power identity — Real power P = V × I × PF (1φ); P = √3 × V × I × PF (3φ L-L)
Supports: P from V×I path with phase and PF
Joule heating / Ohm’s law forms — P = I²R = V²/R for resistive dissipation
Supports: P from I²R mode
Energy–power relation — Average power P = E / Δt (J/s → W)
Supports: P from energy mode
IEC 60050 — International Electrotechnical Vocabulary — Active power (IEV 131-11-42)
Supports: P is active power; unit watt (W). V×I path computes P, not apparent power S.
IEC 60050 — International Electrotechnical Vocabulary — Power factor (IEV 131-11-46)
Supports: λ = |P| / S; AC V×I path multiplies by λ
IEEE Std 1459-2025 — Power factor and real vs apparent power · 2025-05-16 · errata checked
Supports: PF on AC V×I path; power triangle context
BIPM SI Brochure (9th edition, version 4.01) — SI units for watt, volt, ampere, and joule · 2026-06 · DOI
Supports: W = J/s; DC P = V·I; P = I²R = V²/R for ohmic dissipation
NIST Guide to the SI (SP 811) — Watt as joule per second
Supports: W = J/s; SI relationships for V, A, Ω, W

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.